> For the complete documentation index, see [llms.txt](https://mandober.gitbook.io/math-debrief/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mandober.gitbook.io/math-debrief/900-index/enums/enum-axioms/axioms-per-theory.md).

# Axioms

Axioms

* List of common axioms
* List of all axioms
* List of all laws
* List of all principles
* List of all properties
* Axioms in abstract algebra
  * Axioms per algebra
  * Axioms in group-like algebras
  * Axioms in Boolean algebra
* Axioms in elementary algebra
* Axioms in number theory
  * Axioms of natural numbers
  * Axioms of integers
  * Axioms of rational numbers
  * Axioms of real numbers
* Axioms in logic
* Axioms in set theory
* Axioms in relation theory
* Axioms in order theory